athenaeum vs gild

athenaeum and gild both are nouns.

Word	Noun	Adjective	Verb	Adverb
athenaeum	Yes	No	No	No
gild	Yes	No	Yes	No

As nouns, gild is a hypernym of athenaeum; that is, gild is a word with a broader meaning than athenaeum:

athenaeum: a literary or scientific association for the promotion of learning
gild: a formal association of people with similar interests

Other hypernyms of athenaeum include club, guild, lodge, order, social club, society.

athenaeum (noun)	gild (noun)
a place where reading materials are available	a formal association of people with similar interests
a literary or scientific association for the promotion of learning

athenaeum (verb)	gild (verb)
	decorate with, or as if with, gold leaf or liquid gold